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Finding the Fourth Proportional to 12,272.90, 18,415.72 and 6,728.84

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Solution

The fourth proportional to 12,272.90, 18,415.72 and 6,728.84 is: 10,096.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,272.90 : 18,415.72 = 6,728.84 : x
  2. Step 2: Convert to fraction form
    12,272.90/18,415.72 = 6,728.84/x
  3. Step 3: Cross multiply
    12,272.90x = 18,415.72 × 6,728.84
  4. Step 4: Simplify right side
    12,272.90x = 123,916,433.36
  5. Step 5: Solve for x
    x = 123,916,433.36/12,272.90
  6. Step 6: Final answer
    x = 10,096.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.